114311432400 has 120 divisors (see below), whose sum is σ = 399466542624. Its totient is φ = 27711859200.

The previous prime is 114311432393. The next prime is 114311432471. The reversal of 114311432400 is 4234113411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4316779 + ... + 4343178.

Almost surely, 2^114311432400 is an apocalyptic number.

114311432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114311432400 is an abundant number, since it is smaller than the sum of its proper divisors (285155110224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114311432400 is a wasteful number, since it uses less digits than its factorization.

114311432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8659989 (or 8659978 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114311432400 its reverse (4234113411), we get a palindrome (118545545811).

The spelling of 114311432400 in words is "one hundred fourteen billion, three hundred eleven million, four hundred thirty-two thousand, four hundred".